Relative Auslander–Reiten sequences for quasi-hereditary algebras
Volume 91 / 2002
Colloquium Mathematicum 91 (2002), 123-142
MSC: 16G70, 18G25, 20G05, 17B10.
DOI: 10.4064/cm91-1-9
Abstract
Let $A$ be a finite-dimensional algebra which is quasi-hereditary with respect to the poset $({\mit \Lambda }, \leq )$, with standard modules $\Delta (\lambda )$ for $\lambda \in {\mit\Lambda }$. Let ${\cal F}(\Delta )$ be the category of $A$-modules which have filtrations where the quotients are standard modules. We determine some inductive results on the relative Auslander–Reiten quiver of ${\cal F}(\Delta )$.
